This cube is painted red only on its top and bottom faces; the four side faces are left unpainted. It is then cut along the lines into equal small cubes. How many small cubes have no paint at all?

Question

Accepted Answer

32. Only the top layer and the bottom layer touch paint: 2×16=32 cubes. The two middle layers are unpainted: 64-32=32. (8 would be the answer if all six faces were painted.)

This cube is painted red only on its top and bottom faces; the four side faces are left unpainted. It is then cut along the lines into equal small cubes. How many small cubes have no paint at all?

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